Puiseux series dynamics of Quadratic rational maps
Jan Kiwi
TL;DR
This paper provides a comprehensive analysis of the dynamics of quadratic rational maps over the field of formal Puiseux series, expanding understanding in non-Archimedean dynamics.
Contribution
It offers a complete description of quadratic rational maps' dynamics in the Puiseux series setting, a novel contribution to non-Archimedean dynamical systems.
Findings
Detailed characterization of quadratic rational maps over Puiseux series.
New insights into non-Archimedean dynamics of rational maps.
Framework for analyzing similar maps in algebraic dynamics.
Abstract
We give a complete description for the dynamics of quadratic rational maps with coefficients in the completion of the field of formal Puiseux series.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Mathematical Dynamics and Fractals · Nonlinear Waves and Solitons